\documentclass{article}
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\newtheorem{theorem}{Theorem}
\newtheorem{lemma}{Lemma}
\newtheorem{proposition}{Proposition}
\newtheorem{definition}{Definition}
\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
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\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t17\_margrel1 (TMdzyhsVJGZ4QdSFrh5kyxBpkqn7WvJqzFX)}
\maketitle
Let $ k7\_margrel1 : {\iota}$ be given.
Let $ k12\_margrel1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k8\_margrel1 : {\iota}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ np\_\_0 : {\iota}$ be given.
Let $ k2\_xboolean : {\iota}$ be given.
Let $ k1\_xboolean : {\iota}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Let $ k11\_margrel1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v1\_xboole\_0}~{X0}})}{\unicdbdjdcd}{({{X0}={k1\_xboole\_0}})}}}\label{hyp:ehgdpfcgpgpgmgfg}
\end{equation}
Assume the following.
\begin{equation}
{{v1\_xboole\_0}~{np\_\_0}}\label{hyp:dhahdgadpfcgpgpgmgfg}
\end{equation}
Assume the following.
\begin{equation}
{{k8\_margrel1}={k2\_xboolean}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgidpfngbgchhgchfgmgbd}
\end{equation}
Assume the following.
\begin{equation}
{{k7\_margrel1}={k1\_xboolean}}\label{hyp:chfgegfgggjgogjgehjgpgogpflghdpfngbgchhgchfgmgbd}
\end{equation}
Assume the following.
\begin{equation}
{{k6\_numbers}={k1\_xboole\_0}}\label{hyp:chfgegfgggjgogjgehjgpgogpflggdpfogfhngcgfgchdh}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{k12\_margrel1}~{X0}}={{k11\_margrel1}~{X0}}}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgbdcdpfngbgchhgchfgmgbd}
\end{equation}
Assume the following.
\begin{equation}
{{k2\_xboolean}={np\_\_1}}\label{hyp:egcdpfihcgpgpgmgfgbgog}
\end{equation}
Assume the following.
\begin{equation}
{{k1\_xboolean}={k6\_numbers}}\label{hyp:egbdpfihcgpgpgmgfgbgog}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh k7\_margrel1 \in X0){\unicdbdjdcd}(k11\_margrel1~X0=k8\_margrel1)){\unicdcdcdhd}\\
((k7\_margrel1 \in X0){\unicdbdjdcd}(k11\_margrel1~X0=k7\_margrel1))\end{array}
\label{hyp:egbdfdpfngbgchhgchfgmgbd}
\end{equation}
\begin{theorem}\label{thm:ehbdhdpfngbgchhgchfgmgbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh k7\_margrel1 \in X0){\unicdbdjdcd}(k12\_margrel1~X0=k8\_margrel1)){\unicdcdcdhd}\\
((\preoh (k12\_margrel1~X0=k8\_margrel1){\unicdcdcdhd}(k7\_margrel1 \in X0)){\unicdcdcdhd}(((k7\_margrel1 \in \\
X0){\unicdbdjdcd}(k12\_margrel1~X0=k7\_margrel1)){\unicdcdcdhd}((k12\_margrel1~X0=k7\_margrel1){\unicdbdjdcd}\\
(k7\_margrel1 \in X0))))\end{array}$$
\end{theorem}
\end{document}
